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23486868432 = 24331713124413
BaseRepresentation
bin10101110111111011…
…010010101111010000
32020121211200112112000
4111313323102233100
5341100114242212
614442325034000
71461012042036
oct256773225720
966554615460
1023486868432
119a627a7975
124675855900
1322a3bc71b1
1411cb426556
15926e321dc
hex577ed2bd0

23486868432 has 160 divisors (see below), whose sum is σ = 71929503360. Its totient is φ = 7311882240.

The previous prime is 23486868403. The next prime is 23486868437.

23486868432 is a `hidden beast` number, since 2 + 3 + 486 + 86 + 84 + 3 + 2 = 666.

23486868432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23486868437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949858 + ... + 974270.

It is an arithmetic number, because the mean of its divisors is an integer number (449559396).

Almost surely, 223486868432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23486868432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35964751680).

23486868432 is an abundant number, since it is smaller than the sum of its proper divisors (48442634928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23486868432 is a wasteful number, since it uses less digits than its factorization.

23486868432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24578 (or 24566 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 23486868432 in words is "twenty-three billion, four hundred eighty-six million, eight hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 131 136 144 153 204 216 262 272 306 393 408 432 459 524 612 786 816 918 1048 1179 1224 1572 1836 2096 2227 2358 2448 3144 3537 3672 4454 4716 6288 6681 7074 7344 8908 9432 13362 14148 17816 18864 20043 24413 26724 28296 35632 40086 48826 53448 56592 60129 73239 80172 97652 106896 120258 146478 160344 195304 219717 240516 292956 320688 390608 415021 439434 481032 585912 659151 830042 878868 962064 1171824 1245063 1318302 1660084 1757736 2490126 2636604 3198103 3320168 3515472 3735189 4980252 5273208 6396206 6640336 7470378 9594309 9960504 10546416 11205567 12792412 14940756 19188618 19921008 22411134 25584824 28782927 29881512 38377236 44822268 51169648 54367751 57565854 59763024 76754472 86348781 89644536 108735502 115131708 153508944 163103253 172697562 179289072 217471004 230263416 326206506 345395124 434942008 460526832 489309759 652413012 690790248 869884016 978619518 1304826024 1381580496 1467929277 1957239036 2609652048 2935858554 3914478072 5871717108 7828956144 11743434216 23486868432